12147840 has 256 divisors, whose sum is σ = 46512000. Its totient is φ = 2985984.

The previous prime is 12147833. The next prime is 12147847. The reversal of 12147840 is 4874121.

12147840 = 12³ + 13³ + ... + 83³.

It is an interprime number because it is at equal distance from previous prime (12147833) and next prime (12147847).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328302 + ... + 328338.

Almost surely, 2^12147840 is an apocalyptic number.

12147840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256000).

12147840 is an abundant number, since it is smaller than the sum of its proper divisors (34364160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12147840 is a wasteful number, since it uses less digits than its factorization.

12147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 12147840 is about 3485.3751591471. The cubic root of 12147840 is about 229.8792056319.

It can be divided in two parts, 121 and 47840, that added together give a square (47961 = 219²).

The spelling of 12147840 in words is "twelve million, one hundred forty-seven thousand, eight hundred forty".